TSTP Solution File: GRP567-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP567-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:20:58 EDT 2024
% Result : Unsatisfiable 1.38s 0.56s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of formulae : 87 ( 87 unt; 0 def)
% Number of atoms : 87 ( 86 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 164 ( 164 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f16,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f114,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f117,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),double_divide(double_divide(X0,X2),double_divide(identity,inverse(identity)))),inverse(identity)),
inference(paramodulation,[status(thm)],[f114,f114]) ).
fof(f121,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(double_divide(X0,inverse(X1)),double_divide(identity,identity))),inverse(identity)),
inference(paramodulation,[status(thm)],[f8,f114]) ).
fof(f122,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(double_divide(X0,double_divide(X1,inverse(identity))),identity)),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f114]) ).
fof(f130,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),double_divide(double_divide(X0,X2),identity)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f9,f117]) ).
fof(f131,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(double_divide(X0,X2))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f130]) ).
fof(f132,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),multiply(X2,X0)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f131]) ).
fof(f136,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f121]) ).
fof(f137,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,inverse(double_divide(X0,double_divide(X1,inverse(identity))))),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f122]) ).
fof(f138,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,multiply(double_divide(X1,inverse(identity)),X0)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f14,f137]) ).
fof(f317,plain,
! [X0] : X0 = double_divide(double_divide(X0,double_divide(identity,inverse(identity))),inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f136]) ).
fof(f328,plain,
! [X0] : X0 = double_divide(double_divide(X0,identity),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f9,f317]) ).
fof(f329,plain,
! [X0] : X0 = double_divide(inverse(X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f328]) ).
fof(f337,plain,
! [X0] : inverse(X0) = double_divide(multiply(identity,X0),inverse(identity)),
inference(paramodulation,[status(thm)],[f16,f329]) ).
fof(f338,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(multiply(X1,X0),inverse(identity)),
inference(paramodulation,[status(thm)],[f14,f329]) ).
fof(f339,plain,
! [X0,X1] : X0 = double_divide(double_divide(inverse(X1),multiply(X1,X0)),inverse(identity)),
inference(paramodulation,[status(thm)],[f329,f138]) ).
fof(f432,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,double_divide(inverse(X0),inverse(identity))),inverse(identity)),
inference(paramodulation,[status(thm)],[f337,f136]) ).
fof(f441,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f329,f432]) ).
fof(f877,plain,
multiply(identity,identity) = double_divide(inverse(identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f8,f441]) ).
fof(f907,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f329,f877]) ).
fof(f940,plain,
identity = double_divide(double_divide(inverse(identity),identity),inverse(identity)),
inference(paramodulation,[status(thm)],[f907,f339]) ).
fof(f958,plain,
identity = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f8,f940]) ).
fof(f959,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f329,f958]) ).
fof(f977,plain,
! [X0] : multiply(identity,X0) = double_divide(double_divide(identity,X0),identity),
inference(backward_demodulation,[status(thm)],[f959,f441]) ).
fof(f979,plain,
! [X0,X1] : X0 = double_divide(double_divide(inverse(X1),multiply(X1,X0)),identity),
inference(backward_demodulation,[status(thm)],[f959,f339]) ).
fof(f984,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(multiply(X1,X0),identity),
inference(backward_demodulation,[status(thm)],[f959,f338]) ).
fof(f987,plain,
! [X0] : X0 = double_divide(inverse(X0),identity),
inference(backward_demodulation,[status(thm)],[f959,f329]) ).
fof(f988,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))),identity),
inference(backward_demodulation,[status(thm)],[f959,f136]) ).
fof(f1005,plain,
! [X0] : multiply(identity,X0) = inverse(double_divide(identity,X0)),
inference(forward_demodulation,[status(thm)],[f8,f977]) ).
fof(f1006,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f14,f1005]) ).
fof(f1009,plain,
! [X0,X1] : X0 = inverse(double_divide(inverse(X1),multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f8,f979]) ).
fof(f1010,plain,
! [X0,X1] : X0 = multiply(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f14,f1009]) ).
fof(f1017,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f8,f984]) ).
fof(f1020,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8,f987]) ).
fof(f1021,plain,
! [X0,X1] : X0 = inverse(double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity)))),
inference(forward_demodulation,[status(thm)],[f8,f988]) ).
fof(f1022,plain,
! [X0,X1] : X0 = multiply(double_divide(double_divide(X0,inverse(X1)),inverse(identity)),X1),
inference(forward_demodulation,[status(thm)],[f14,f1021]) ).
fof(f1023,plain,
! [X0,X1] : X0 = multiply(double_divide(double_divide(X0,inverse(X1)),identity),X1),
inference(forward_demodulation,[status(thm)],[f959,f1022]) ).
fof(f1024,plain,
! [X0,X1] : X0 = multiply(inverse(double_divide(X0,inverse(X1))),X1),
inference(forward_demodulation,[status(thm)],[f8,f1023]) ).
fof(f1025,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X0),X1),
inference(forward_demodulation,[status(thm)],[f14,f1024]) ).
fof(f1048,plain,
! [X0] : X0 = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f16,f1020]) ).
fof(f1095,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f1048,f1006]) ).
fof(f1113,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f1010,f1017]) ).
fof(f1116,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(paramodulation,[status(thm)],[f1095,f1017]) ).
fof(f1146,plain,
! [X0,X1] : X0 = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(paramodulation,[status(thm)],[f1025,f1010]) ).
fof(f1152,plain,
! [X0,X1] : X0 = multiply(X1,double_divide(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1017,f1146]) ).
fof(f1159,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f1020,f1152]) ).
fof(f1178,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f1159,f1025]) ).
fof(f1180,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f1159,f1017]) ).
fof(f1186,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f1020,f1180]) ).
fof(f1195,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(paramodulation,[status(thm)],[f1186,f1159]) ).
fof(f1285,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),inverse(X3))),multiply(X2,X0)),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f1116,f132]) ).
fof(f1286,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),inverse(X3))),multiply(X2,X0)),identity),
inference(forward_demodulation,[status(thm)],[f959,f1285]) ).
fof(f1287,plain,
! [X0,X1,X2,X3] : X0 = inverse(double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),inverse(X3))),multiply(X2,X0))),
inference(forward_demodulation,[status(thm)],[f8,f1286]) ).
fof(f1288,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(X1,X0),double_divide(X2,double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X3)))),
inference(forward_demodulation,[status(thm)],[f14,f1287]) ).
fof(f1289,plain,
! [X0,X1,X2] : X0 = inverse(double_divide(double_divide(X1,double_divide(multiply(X1,X0),X2)),inverse(X2))),
inference(paramodulation,[status(thm)],[f1159,f1288]) ).
fof(f1324,plain,
! [X0,X1,X2] : X0 = multiply(inverse(X1),double_divide(X2,double_divide(multiply(X2,X0),X1))),
inference(forward_demodulation,[status(thm)],[f14,f1289]) ).
fof(f1581,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(X1,X0)),inverse(X1)),
inference(paramodulation,[status(thm)],[f1195,f1113]) ).
fof(f1590,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f1159,f1113]) ).
fof(f1607,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(X0,X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f14,f1581]) ).
fof(f1619,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f14,f1590]) ).
fof(f2036,plain,
! [X0,X2,X1] : X0 = double_divide(inverse(double_divide(X2,double_divide(multiply(X2,X0),X1))),X1),
inference(forward_demodulation,[status(thm)],[f1178,f1324]) ).
fof(f2037,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(double_divide(multiply(X1,X0),X2),X1),X2),
inference(forward_demodulation,[status(thm)],[f14,f2036]) ).
fof(f2038,plain,
! [X0,X1] : X0 = inverse(double_divide(multiply(X1,X0),inverse(X1))),
inference(paramodulation,[status(thm)],[f1607,f2037]) ).
fof(f2069,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(multiply(X0,X1),X2),X0)) = multiply(X1,X2),
inference(paramodulation,[status(thm)],[f2037,f1195]) ).
fof(f2075,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f14,f2038]) ).
fof(f2076,plain,
! [X0,X1] : X0 = double_divide(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[status(thm)],[f1178,f2075]) ).
fof(f2077,plain,
! [X0,X1] : X0 = double_divide(double_divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f1017,f2076]) ).
fof(f2109,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(multiply(X0,X1),X2)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f1017,f2069]) ).
fof(f2121,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f1186,f2077]) ).
fof(f2154,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f1619,f2121]) ).
fof(f2340,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f1619,f2154]) ).
fof(f2397,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f2340,f10]) ).
fof(f3248,plain,
! [X0,X1,X2] : inverse(double_divide(multiply(X0,X1),X2)) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f2109,f1159]) ).
fof(f3273,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f14,f3248]) ).
fof(f3274,plain,
$false,
inference(resolution,[status(thm)],[f3273,f2397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP567-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n014.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 00:15:49 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 1.38/0.56 % Refutation found
% 1.38/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.38/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.53/0.57 % Elapsed time: 0.214814 seconds
% 1.53/0.57 % CPU time: 1.578017 seconds
% 1.53/0.57 % Total memory used: 43.779 MB
% 1.53/0.57 % Net memory used: 41.614 MB
%------------------------------------------------------------------------------